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Radiol. Prot."],"published-print":{"date-parts":[[2026,9,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    This study investigates how much the conventional quantity value (true value) of the operational quantity\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>p<\/jats:sub>\n                    (3), defined in International Commission on Radiation Units and Measurements (ICRU) 47 and 51, changes for oblique radiation incidence when a rotation around the horizontal instead of the commonly used vertical axis of the cylinder phantom is performed. For this, conversion coefficients\n                    <jats:italic>h<\/jats:italic>\n                    <jats:sub>\n                      p\n                      <jats:italic>K<\/jats:italic>\n                    <\/jats:sub>\n                    (3) and\n                    <jats:italic>h<\/jats:italic>\n                    <jats:sub>\n                      p\n                      <jats:italic>D<\/jats:italic>\n                    <\/jats:sub>\n                    (3), for photons and betas, respectively, were calculated for both vertical (usual) and horizontal rotations of the cylinder phantom for mono-energetic photons from 2 keV to 10 MeV and for reference beta-particle fields with mean energies from 0.54 MeV to 1.2 MeV (and maximum beta energies from 1.4 MeV to 3.3 MeV). From the results, the ratio of the values for horizontal and vertical rotations were determined. To complement these, the corresponding ratios for the protection quantity equivalent dose to the lens of the eye,\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>lens<\/jats:sub>\n                    , defined in International Commission on Radiological Protection 116, were calculated and compared with the results for\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>p<\/jats:sub>\n                    (3). For photon fields most relevant in lens monitoring, i.e. especially in interventional radiology, it turned out that\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>p<\/jats:sub>\n                    (3) is only slightly (up to \u223c10%) smaller when rotating around a horizontal instead of the commonly used vertical axis. Larger differences only occur for small photon energies (below \u223c20 keV) and large angles of radiation incidence (75\u00b0) where\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>p<\/jats:sub>\n                    (3) is reduced to practically zero for a horizontal rotation compared to the normal (vertical) rotation. For reference beta-particle fields, the differences between vertical and horizontal rotations are also mostly below 10% \u2014 due to the rather broad angular distribution of the beta fields resulting in only small differences of the \u2018effective\u2019 path length in the cylinder phantom. In contrast, the differences of the dose to the lens of the eye,\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>lens<\/jats:sub>\n                    , are rather large for both photons and betas and always significantly larger than for\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>p<\/jats:sub>\n                    (3). From the author\u2019s point of view, these findings do not impose the necessity to update the\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>p<\/jats:sub>\n                    (3) by distinguishing between the (usual) vertical and a horizontal rotation axis. Nevertheless, the data presented may serve ICRU to judge whether an updated definition of the operational quantity\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>p<\/jats:sub>\n                    (3) should be considered. If so, International Standardization Organization needs to provide\n                    <jats:italic>H<\/jats:italic>\n                    <jats:sub>p<\/jats:sub>\n                    (3) values for horizontal rotations of the cylinder phantom for reference radiation fields and International Electrotechnical Commission needs to extend their dosemeter type-test procedures to horizontal rotations.\n                  <\/jats:p>","DOI":"10.1088\/1361-6498\/ae955c","type":"journal-article","created":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T22:48:51Z","timestamp":1785970131000},"page":"031526","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Angular dependence of\n                    <i>H<\/i>\n                    <sub>p<\/sub>\n                    (3): horizontal vs vertical rotation"],"prefix":"10.1088","volume":"46","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4905-7791","authenticated-orcid":true,"given":"Rolf","family":"Behrens","sequence":"first","affiliation":[{"name":"Physikalisch-Technische Bundesanstalt (PTB)"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4736-5598","authenticated-orcid":true,"given":"Anna","family":"Camp Brun\u00e9s","sequence":"additional","affiliation":[{"name":"Institut de T\u00e8cniques Energ\u00e8tiques"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Arlene Cort\u00e9s","family":"Balcells","sequence":"additional","affiliation":[{"name":"Institut de T\u00e8cniques Energ\u00e8tiques"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1560-1576","authenticated-orcid":false,"given":"Maria Amor","family":"Duch Guill\u00e9n","sequence":"additional","affiliation":[{"name":"Institut de T\u00e8cniques Energ\u00e8tiques"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6561-3375","authenticated-orcid":false,"given":"Oliver","family":"Hupe","sequence":"additional","affiliation":[{"name":"Physikalisch-Technische Bundesanstalt (PTB)"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,8,24]]},"reference":[{"key":"jrpae955cbib1","article-title":"ICRP Statement on Tissue Reactions","author":"International Commission on Radiological Protection (ICRP)","year":"2011","type":"web-resource"},{"key":"jrpae955cbib2","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/j.icrp.2012.02.001","type":"journal-article","article-title":"ICRP statement on tissue reactions and early and late effects of radiation in normal tissues and organs\u2013threshold doses for tissue reactions in a radiation protection context. 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Published on behalf of the Society for Radiological Protection by IOP Publishing Ltd","name":"copyright_information","label":"Copyright Information"},{"value":"2026-04-21","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-08-05","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-08-24","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}